We prove that if the sectional curvature, , of a compact 6-manifold without boundary satisfies then its third (real) Betti number is zero.
Nous démontrons que si la courbure sectionnelle d’une variété riemannienne compacte de dimension 6 satisfait à la condition alors son troisième (réel) nombre de Betti est nul.
@article{AIF_1986__36_2_83_0, author = {Seaman, Walter}, title = {The third {Betti} number of a positively pinched riemannian six manifold}, journal = {Annales de l'Institut Fourier}, pages = {83--92}, publisher = {Institut Fourier}, address = {Grenoble}, volume = {36}, number = {2}, year = {1986}, doi = {10.5802/aif.1049}, mrnumber = {87k:53096}, zbl = {0578.53031}, language = {en}, url = {http://archive.numdam.org/articles/10.5802/aif.1049/} }
TY - JOUR AU - Seaman, Walter TI - The third Betti number of a positively pinched riemannian six manifold JO - Annales de l'Institut Fourier PY - 1986 SP - 83 EP - 92 VL - 36 IS - 2 PB - Institut Fourier PP - Grenoble UR - http://archive.numdam.org/articles/10.5802/aif.1049/ DO - 10.5802/aif.1049 LA - en ID - AIF_1986__36_2_83_0 ER -
%0 Journal Article %A Seaman, Walter %T The third Betti number of a positively pinched riemannian six manifold %J Annales de l'Institut Fourier %D 1986 %P 83-92 %V 36 %N 2 %I Institut Fourier %C Grenoble %U http://archive.numdam.org/articles/10.5802/aif.1049/ %R 10.5802/aif.1049 %G en %F AIF_1986__36_2_83_0
Seaman, Walter. The third Betti number of a positively pinched riemannian six manifold. Annales de l'Institut Fourier, Volume 36 (1986) no. 2, pp. 83-92. doi : 10.5802/aif.1049. http://archive.numdam.org/articles/10.5802/aif.1049/
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